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    Gale duality, decoupling, parameter homotopies, and monodromy

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    http://hdl.handle.net/10217/82567
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    Niemerg_colostate_0053A_12232.pdf (1.446Mb)
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    Abstract
    Numerical Algebraic Geometry (NAG) has recently seen significantly increased application among scientists and mathematicians as a tool that can be used to solve nonlinear systems of equations, particularly polynomial systems. With the many recent advances in the field, we can now routinely solve problems that could not have been solved even 10 years ago. We will give an introduction and overview of numerical algebraic geometry and homotopy continuation methods; discuss heuristics for preconditioning fewnomial systems, as well as provide a hybrid symbolic-numerical algorithm for computing the ...
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    Author(s)
    Niemerg, Matthew E.

    Advisor(s)
    Bates, Daniel J.

    Date Issued
    2014
    Format
    born digital; doctoral dissertations
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    • 2000-2019 - CSU Theses and Dissertations
    • Theses and Dissertations - Department of Mathematics

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